标题： 弹性空心盘的位移和应力分析：与材料强度预测的比较 显示英文标题

标题： Displacement and Stress Analysis of an Elastic Hollow Disk: Comparison with Strength of Materials' Prediction

摘要： 本文分析了在直径载荷作用下二维弹性圆盘内的应力分布，重点在于增强对混凝土和岩石材料力学行为的理解。该研究重新审视了巴西劈裂试验，并通过引入环形试验来解决加载点附近的高剪切应力问题，环形试验在圆盘中心引入一个孔。利用动态弹性理论，我们推导出随时间变化的应力分布，并将分析扩展到静态条件。这种方法区分了纵波和横波的影响，提供了详细的应力场分析。通过类比曲线梁理论，我们证明了动态弹性理论适用于复杂的应力问题，为理解弹性圆盘中的应力行为提供了更好的见解。 显示英文摘要

摘要： This paper analyzes the stress distribution in a two-dimensional elastic disk under diametric loading, with a focus on enhancing the understanding of concrete and rock materials' mechanical behavior. The study revisits the Brazilian test and addresses its high shear stress issue near loading points by exploring the ring test, which introduces a central hole in the disk. Using dynamic elasticity theory, we derive stress distributions over time and extend the analysis to static conditions. This approach distinguishes between longitudinal and transverse wave effects, providing a detailed stress field analysis. By drawing parallels with curved beam theories, we demonstrate the applicability of dynamic elasticity theory to complex stress problems, offering improved insights into the stress behavior in elastic disks.